Q: What are the factor combinations of the number 40,605,877?

 A:
Positive:   1 x 4060587713 x 312352917 x 238858131 x 1309867221 x 183737403 x 100759527 x 770515927 x 6851
Negative: -1 x -40605877-13 x -3123529-17 x -2388581-31 x -1309867-221 x -183737-403 x -100759-527 x -77051-5927 x -6851


How do I find the factor combinations of the number 40,605,877?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 40,605,877, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 40,605,877
-1 -40,605,877

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,605,877.

Example:
1 x 40,605,877 = 40,605,877
and
-1 x -40,605,877 = 40,605,877
Notice both answers equal 40,605,877

With that explanation out of the way, let's continue. Next, we take the number 40,605,877 and divide it by 2:

40,605,877 ÷ 2 = 20,302,938.5

If the quotient is a whole number, then 2 and 20,302,938.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 40,605,877
-1 -40,605,877

Now, we try dividing 40,605,877 by 3:

40,605,877 ÷ 3 = 13,535,292.3333

If the quotient is a whole number, then 3 and 13,535,292.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 40,605,877
-1 -40,605,877

Let's try dividing by 4:

40,605,877 ÷ 4 = 10,151,469.25

If the quotient is a whole number, then 4 and 10,151,469.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 40,605,877
-1 40,605,877
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11317312214035275,9276,85177,051100,759183,7371,309,8672,388,5813,123,52940,605,877
-1-13-17-31-221-403-527-5,927-6,851-77,051-100,759-183,737-1,309,867-2,388,581-3,123,529-40,605,877

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